Find Volume of a cubical box whose Surface area is 486 cm². Class 8

a hollow cylinder has solid hemisphere inward at one end and on the other end it is closed with a flat circular plate. The height of water is 10 cm when flat circular surface is downward. Find the level of the water, when it is inverted upside down, common diameter is 7 cm and height of the cylinder is 20 cm

 

Class 10 | Math | Metallic sphere of radii 6cm, 8cm and 10cm respectively are melted and recasted into a single solid sphere. Taking pi =3.1 find the surface area of the sphere

 

Class 10 | Math | If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimetre in the volume, what is the diameter of the sphere

 

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

 

An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and height of the cylindrical part is 50m. If the diameter of the base is 168m, find the quantity of canvas required to make the tent. Allow 20% extra for fold and far stitching. Give your answer to the nearest sq. m

 

Class 10 surface area volume | The cross-section of a tunnel is a square of side 7m surmounted by a semi circle as shown in the adjoining figure. The tunnel is 80 m long

 

CLASS 10 SURFACE ARE VOLUME | In the following diagram a rectangular platform with a semi-circular end on one side is 22 metres long from one end to the other end. If the length of the half circumference is 11 metres. Find the cost of constructing the platform, 1.5 metres high at the rate of Rs. 4 per cubic metres

 

A right angled triangle is made to revolve through its hypotenuse. Find the volume and total surface area of the shape formed. Given that triangle are 12cm and 5cm is length.

Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube. Class 10 Selina Math ex 6G question 6

 

ICSE CLASS 10 MATH SELINA EX 20A Question 26 | The given figure shows a solid formed of a solid cube of side 40 cm and a solid cylinder of radius 20 cm and height 50 cm, find the volume and total surface area

 

Answer

Volume 126800 cm^3

Surface area 15880 cm^2

The total surface area of a hollow cylinder, which is open from both side is 3575 cm^2, area of the base ring is 357.5 cm^2 and height is 14 cm. Find the thickness of the cylinder.

Answer 3.5 cm

 

Class 10 Surface area Volume MCQ FM 40

Class 10 Math CBSE AREA RELATED TO CIRCLE MCQ TEST FM 40

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ANS Mathematics & Physics

Class 10 ICSE SELINA MATH EX 20D question 12 The surface area of a solid metallic sphere is 2464 cm2 . It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate : (i) the radius of the sphere. (ii) the number of cones recast

 

Class 10 ICSE SELINA MATH EX 20D question 11 A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.

 

Class 10 ICSE SELINA MATH EX 20A question 22 The total surface area of a solid cylinder is 616 cm2. If the ratio between its curved surface area and total surface area is 1 : 2; find the volume of the cylinder